2(x-5)-3(x+7)=14

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Solution for 2(x-5)-3(x+7)=14 equation:


Simplifying
2(x + -5) + -3(x + 7) = 14

Reorder the terms:
2(-5 + x) + -3(x + 7) = 14
(-5 * 2 + x * 2) + -3(x + 7) = 14
(-10 + 2x) + -3(x + 7) = 14

Reorder the terms:
-10 + 2x + -3(7 + x) = 14
-10 + 2x + (7 * -3 + x * -3) = 14
-10 + 2x + (-21 + -3x) = 14

Reorder the terms:
-10 + -21 + 2x + -3x = 14

Combine like terms: -10 + -21 = -31
-31 + 2x + -3x = 14

Combine like terms: 2x + -3x = -1x
-31 + -1x = 14

Solving
-31 + -1x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '31' to each side of the equation.
-31 + 31 + -1x = 14 + 31

Combine like terms: -31 + 31 = 0
0 + -1x = 14 + 31
-1x = 14 + 31

Combine like terms: 14 + 31 = 45
-1x = 45

Divide each side by '-1'.
x = -45

Simplifying
x = -45

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